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V125BC [204]
2 years ago
6

Solve for y: 2(3y + 5) = 3 (5y +1/3).

Mathematics
2 answers:
mash [69]2 years ago
5 0

Answer:

y = 1

Step-by-step explanation:

Step 1: Distribute

We have to distribute the coefficient to the terms in the parentheses.

2(3y + 5) = 3(5y + 1/3)

2(3y) + 2(5) = 3(5y) + 3(1/3)

6y + 10 = 15y + 1

Step 2: Isolate a term with the variable

We want one term that contains x on one side (preferably the largest value)

We can subtract 1 to isolate 15x

6y + 10 = 15y + 1

6y + 9 = 15y

Step 3: variable - term on one side, numbers on the other

Now we just want to have a value equal to the y - term (preferably largest)

Subtract 6y from both sides

6y + 9 = 15y

9 = 9y

Step 4: Isolate the variable

Now we just want the variably on one side.

We can rewrite 9y as 9 * y, and use the operation division to isolate y

9 = 9 * y

9/9 = y

1 = y

y = 1

-Chetan K

kaheart [24]2 years ago
4 0

Answer:

2(3y + 5) = 3 (5y +1/3)

6y+10=15y+1

9=9y

y=1

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Nutka1998 [239]

Answer:

Jillian bikes 3 miles each evening.

3

Step-by-step explanation:

3 (miles) × 5 (days) = 15 (Run)

3 (miles) × 5 (days) = 15 (Bike)

30 miles total

Hope this helps!!

Check:

She works out twice a day and goes three miles each time for five days.

Six miles per day

6 · 5 = 30

5 0
2 years ago
On a final exam for math, Lauren was required to answer a combination of at least 15 equations or word problems. Lauren knew tha
MrMuchimi

Answer:

Number of questions constraint:

x + y ≥ 15

Time constraint :

5x + 8y ≤ 120

Step-by-step explanation:

Let :

x = number of equations

y = number of word problems

Number of answers required = atleast 15

Equation takes 5 minutes

Word problem takes 8 minutes

Time available to complete exam = 120 minutes

Constraints :

Number of questions required

Total questions shout be atleast 15

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Time constraint :

5x + 8y ≤ 120

3 0
2 years ago
Determine the interval(s) on which the function is (strictly) increasing.
harina [27]
(-5,-1) decreases (-3,-6)
(-3,-6) increases (0,1)
(0,1) neither/slope=0 (2,1)
(2,1) increases (6,7)
(6,7) neither/slope=0 (7,7)
3 0
3 years ago
Can anyone help me with this problem
ludmilkaskok [199]

Answer:3^2

Step-by-step explanation:

I think it is 3 with exponent of 3 because if its asking for side length of 9 then 3 x 3=9

7 0
2 years ago
Use the synthetic division to find the real zeros of f(x)=2x3 +7x2+2x-3
Dimas [21]

Answer:

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6 0
3 years ago
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